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int (dx)/(sqrt(x) (x + 4)) = f(x) + c t...

`int (dx)/(sqrt(x) (x + 4)) = f(x) ` + c then f(x) =

A

`(1)/(3) tan^(-1) sqrt(x) `

B

`(2)/(3) tan^(-1) ((sqrt(x))/(3))`

C

`(2)/(3) tan^(-1) ((sqrt(x))/(2))`

D

`tan^(-1) ((sqrt(x))/(2))`

Text Solution

Verified by Experts

The correct Answer is:
D
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